which has a thicker and chunkier consistency, consists of $70\%$ whole tomatoes, $10\%$ tomato sauce, and $20\%$ tomato paste. Each jar of salsa produced weighs $10$ ounces.

Tom's contract with Western Foods results in sales revenue of $$1\mathrm{.}64$ for each jar of Western Foods Salsa and $$1\mathrm{.}93$ for each jar of Mexico City Salsa. Letting

$W=$ jars $of$ Western Foods Salsa

$M=$ jars $of$ Mexico City Salsa

leads to the formulation $($units for constraints are ounces$)$:

Max $1W+1\mathrm{.}25M,$

$s.t.$

$5W+7M,4,560ozof$ whole tomatoes

$3W+1M,2,400ozof$ tomato sauce

$2W+2M,1,600ozof$ tomato paste

$W,M0,$

The computer solution is shown below.

$($a$)$ What is the optimal solution, and what are the optimal production quantities?

$W$

jars

$M$

jars

profit $

$($b$)$ Specify the objective function ranges. $($Round your answers to five decimal places.$)$

Western Foods Salsa

to

Mexico City Salsa

to